Information on Result #1288002
Linear OA(231, 150, F2, 8) (dual of [150, 119, 9]-code), using construction Y1 based on
- linear OA(232, 256, F2, 8) (dual of [256, 224, 9]-code), using
- 1 times truncation [i] based on linear OA(233, 257, F2, 9) (dual of [257, 224, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(233, 257, F2, 9) (dual of [257, 224, 10]-code), using
- nonexistence of OA(2224, 256, S2, 106), because
- discarding factors would yield OA(2224, 253, S2, 106), but
- the linear programming bound shows that M ≥ 5 222077 869683 849196 255349 775472 511572 660232 416594 770146 536453 382899 214399 307776 / 189875 648367 > 2224 [i]
- discarding factors would yield OA(2224, 253, S2, 106), but
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.